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Finding the Third Proportional to 9,939 and 21,786

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Solution

The third proportional to 9,939 and 21,786 is: 47,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939 : 21,786 = 21,786 : x
  2. Step 2: Convert to fraction form
    9,939/21,786 = 21,786/x
  3. Step 3: Cross multiply
    9,939x = 21,786 × 21,786
  4. Step 4: Simplify right side
    9,939x = 474,629,796
  5. Step 5: Solve for x
    x = 474,629,796/9,939
  6. Step 6: Final answer
    x = 47,754.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.